Question

What are the x-intercepts and the y-intercepts of the graph of 12x−3y=36

Answer 1

Answer:

x-intercept=3,  y-intercept=-12

Step-by-step explanation:

at x-intercept y=0 such that:

12x-3(0)=36

12x=36

$x=\frac{36}{12} =3$

additionally, at y-intercept x=0 such that

12(0)-3y=36

-3y=36

$y= \frac{36}{-3}=-12$

Answer 2

Answer:

Step-by-step explanation:

12x −3y=36  ⇔ 3y = 12x - 36

                          y = 4x - 12

y = 0 ⇔ 4x - 12 = 0 ⇔ 4x = 12 ⇔ x = 12/4 = 3

So (0 ; - 12) and (3 ; 0)